This is the fourth part of a four-part problem. If the given solutions 7₁ (t) = - [²2²], 1₂(t) - form a fundamental set (1.e., linearly independent set) of solutions for the initial value problem 21-2 2t 2 ÿ' = - [22 12t+2t 27 2t ¹-2t 2 »-[7¹]. 1²]. ÿ, ÿ(5)= t> 0, impose the given initial condition and find the unique solution to the initial value problem for t > 0. If the given solutions do not form a fundamental set, enter NONE in all of the answer blanks. y(t) = ( [²₂2] +0 2t
This is the fourth part of a four-part problem. If the given solutions 7₁ (t) = - [²2²], 1₂(t) - form a fundamental set (1.e., linearly independent set) of solutions for the initial value problem 21-2 2t 2 ÿ' = - [22 12t+2t 27 2t ¹-2t 2 »-[7¹]. 1²]. ÿ, ÿ(5)= t> 0, impose the given initial condition and find the unique solution to the initial value problem for t > 0. If the given solutions do not form a fundamental set, enter NONE in all of the answer blanks. y(t) = ( [²₂2] +0 2t
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![This is the fourth part of a four-part problem.
If the given solutions
ÿ₁ (t) =
- [²2²], 2(0)-[¹7¹].
form a fundamental set (i.e., linearly independent set) of solutions for the initial value problem
21-²
-21-2
y' =
- [22
12t¹+2t 27
2t ¹-2t 2
[²],
2t
| Ü‚ ÿ(5) — [34], t
=
t> 0,
impose the given initial condition and find the unique solution to the initial value problem for t> 0. If the given solutions do not form a fundamental set, enter NONE in all of the answer blanks
y(t) = (](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7257e379-412a-45af-8489-b06fafcd19b9%2Fa2d7721a-3baf-4bd8-b07a-0d2b601389a0%2Fnhrwhqg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:This is the fourth part of a four-part problem.
If the given solutions
ÿ₁ (t) =
- [²2²], 2(0)-[¹7¹].
form a fundamental set (i.e., linearly independent set) of solutions for the initial value problem
21-²
-21-2
y' =
- [22
12t¹+2t 27
2t ¹-2t 2
[²],
2t
| Ü‚ ÿ(5) — [34], t
=
t> 0,
impose the given initial condition and find the unique solution to the initial value problem for t> 0. If the given solutions do not form a fundamental set, enter NONE in all of the answer blanks
y(t) = (
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